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nLab > Latest Changes: spinᶜ Dirac operator

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  1.  
    • CommentRowNumber1.
    • CommentAuthorDmitri Pavlov
    • CommentTimeDec 28th 2021
    • (edited Dec 28th 2021)

    Don’t we need a geometric Spin^c structure to define the Spin^c Dirac operator? Otherwise, how is the connection on the complex spinor bundle defined?

    Does the nLab have an article about geometric Spin^c structures?

    diff, v7, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeDec 28th 2021
    • (edited Dec 28th 2021)

    I’d say that, just as for the plain Dirac operator, the obstruction is the existence of the topological structure. Given that, a connection may be chosen.

    We don’t have an entry on geometric/differential Spin^c-structures, I believe.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJul 5th 2024
    • (edited Jul 5th 2024)

    changed page name (from “Spin^c Dirac operator” to “spinᶜ Dirac operator”) for better looks, following discussion here

    diff, v8, current

  4. Changed “spin^c” to “spinᶜ” in related concepts. (Links will be checked.)

    diff, v9, current

1 to 4 of 4

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